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Finding the Fourth Proportional to 1,709.14, 2,564.48 and 772.15

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Solution

The fourth proportional to 1,709.14, 2,564.48 and 772.15 is: 1,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.14 : 2,564.48 = 772.15 : x
  2. Step 2: Convert to fraction form
    1,709.14/2,564.48 = 772.15/x
  3. Step 3: Cross multiply
    1,709.14x = 2,564.48 × 772.15
  4. Step 4: Simplify right side
    1,709.14x = 1,980,163.23
  5. Step 5: Solve for x
    x = 1,980,163.23/1,709.14
  6. Step 6: Final answer
    x = 1,158.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.